4800000400 has 180 divisors, whose sum is σ = 13112241492. Its totient is φ = 1678371840.

The previous prime is 4800000397. The next prime is 4800000437. The reversal of 4800000400 is 40000084.

It can be written as a sum of positive squares in 6 ways, for example, as 636653824 + 4163346576 = 25232^2 + 64524^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1875922 + ... + 1878478.

Almost surely, 2^4800000400 is an apocalyptic number.

4800000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556120746).

4800000400 is an abundant number, since it is smaller than the sum of its proper divisors (8312241092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4800000400 is a wasteful number, since it uses less digits than its factorization.

4800000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4800000400 is about 69282.0351895064. The cubic root of 4800000400 is about 1686.8653774609.

Adding to 4800000400 its reverse (40000084), we get a palindrome (4840000484).

The spelling of 4800000400 in words is "four billion, eight hundred million, four hundred", and thus it is an aban number.